Pointwise estimates and exponential laws in metastable systems via coupling methods

Abstract

We show how coupling techniques can be used in some metastable systems to prove that mean metastable exit times are almost constant as functions of the starting microscopic configuration within a "meta-stable set." In the example of the Random Field Curie Weiss model, we show that these ideas can also be used to prove asymptotic exponentiallity of normalized metastable escape times.

Published in at http://dx.doi.org/10.1214/10-AOP622 the Annals of Probability (http://www.imstat.org/aop/) by the Institute of Mathematical Statistics (http://www.imstat.org)

References in corpus (2)

• Reflection positivity and phase transitions in lattice spin models
• A selection of nonequilibrium issues

Cited by in corpus (5)

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• Data-driven Computation of Molecular Reaction Coordinates
• Metastability of reversible random walks in potential fields
• Poincaré and logarithmic Sobolev constants for metastable Markov chains via capacitary inequalities
• Metastability for Glauber dynamics on the complete graph with coupling disorder